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Population Dynamics of Cities in a Region: Conditions for a State of Simultaneous Growth

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  • A Okabe

    (Institute of Socio-Economic Planning, University of Tsukuba, Sakura, Ibaraki 300-31, Japan)

Abstract

This paper first proposes a nonlinear dynamic migration model that describes the population dynamics of cities in a region. Second, by use of this model, several theorems are proved about the conditions necessary for (1) a state of simultaneous growth (that is, when the population of every city in a region increases simultaneously), and (2) a state of proportional growth (that is, when every city's proportion of the total population remains the same over time). Third, based upon the data analysis of interprefectural migration flows in Japan in 1970, some empirical implications of these theorems are considered.

Suggested Citation

  • A Okabe, 1979. "Population Dynamics of Cities in a Region: Conditions for a State of Simultaneous Growth," Environment and Planning A, , vol. 11(6), pages 609-628, June.
    • Handle: RePEc:sae:envira:v:11:y:1979:i:6:p:609-628
    DOI: 10.1068/a110609
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    References listed on IDEAS

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    1. Daniel R. Vining, 1975. "The Spatial Distribution Of Human Populations And Its Characteristic Evolution Over Time: Some Recent Evidence From Japan," Papers in Regional Science, Wiley Blackwell, vol. 35(1), pages 157-178, January.
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    Cited by:

    1. Nijkamp, P. & Reggiani, A., 1986. "Analysis of dynamic spatial interaction models by means of optimal control," Serie Research Memoranda 0051, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.

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